Let P be the operator $-\Delta+V$ on R^d, where $V$ is a realpotential with several inverse square singularities. The usual non-trappingtype high-frequency inequality on the truncated resolvent of $P$ is shown, using semi-classical measures. This inequality implies local smoothing effect on the corresponding Schrödinger equation.
Publié le : 2004-02-24
Classification:
resolvent,
inverse-square,
potential,
semi-classique,
résolvante,
inverse quadratique,
potentiel,
Schrödinger,
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-00001187,
author = {Duyckaerts, Thomas},
title = {Op\'erateur de Schr\"odinger avec potentiel singulier multi-polaire(Schr\"odinger operator with a potential including several inverse-square singularities)},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00001187}
}
Duyckaerts, Thomas. Opérateur de Schrödinger avec potentiel singulier multi-polaire(Schrödinger operator with a potential including several inverse-square singularities). HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00001187/